428107211880 has 128 divisors (see below), whose sum is σ = 1352175120000. Its totient is φ = 108132793344.

The previous prime is 428107211843. The next prime is 428107211881. The reversal of 428107211880 is 88112701824.

It is not an unprimeable number, because it can be changed into a prime (428107211881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14552226 + ... + 14581614.

It is an arithmetic number, because the mean of its divisors is an integer number (10563868125).

Almost surely, 2^428107211880 is an apocalyptic number.

428107211880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 428107211880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (676087560000).

428107211880 is an abundant number, since it is smaller than the sum of its proper divisors (924067908120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

428107211880 is a wasteful number, since it uses less digits than its factorization.

428107211880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35811 (or 35807 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 42.

The spelling of 428107211880 in words is "four hundred twenty-eight billion, one hundred seven million, two hundred eleven thousand, eight hundred eighty".